What is the Greatest Common Factor of 68635 and 68655?

Greatest common factor (GCF) of 68635 and 68655 is 5.

GCF(68635,68655) = 5

We will now calculate the prime factors of 68635 and 68655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68635 and 68655.

How to find the GCF of 68635 and 68655?

We will first find the prime factorization of 68635 and 68655. After we will calculate the factors of 68635 and 68655 and find the biggest common factor number .

Step-1: Prime Factorization of 68635

Prime factors of 68635 are 5, 7, 37, 53. Prime factorization of 68635 in exponential form is:

68635 = 5¹ × 7¹ × 37¹ × 53¹

Step-2: Prime Factorization of 68655

Prime factors of 68655 are 3, 5, 23, 199. Prime factorization of 68655 in exponential form is:

68655 = 3¹ × 5¹ × 23¹ × 199¹

Step-3: Factors of 68635

List of positive integer factors of 68635 that divides 68635 without a remainder.

1, 5, 7, 35, 37, 53, 185, 259, 265, 371, 1295, 1855, 1961, 9805, 13727

Step-4: Factors of 68655

List of positive integer factors of 68655 that divides 68635 without a remainder.

1, 3, 5, 15, 23, 69, 115, 199, 345, 597, 995, 2985, 4577, 13731, 22885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68635 and 68655. The biggest common factor number is the GCF number.
So the greatest common factor 68635 and 68655 is 5.

Also check out the Least Common Multiple of 68635 and 68655